How many of these components leach having a failure rate of 0.005 failures per hour) must be placed in paralel if the system is to run for 10 hours with a system failure probability of more than 0.0005? Assume that all failures are independent.
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- 1.4) ONLYConsider randomly selecting n segments of pipe and determining the corrosion loss (mm) in the wall thickness for each one. Denote these corrosion losses by Y₁' Yn. The article "A Probabilistic Model for a Gas Explosion Due to Leakages in the Grey Cast Iron Gas Mains"+ proposes a linear corrosion model: Y; = t;R, where t; is the age of the pipe and R, the corrosion rate, is exponentially distributed with parameter 1. Obtain the maximum likelihood estimator of the exponential parameter (the resulting mle appears in the cited article). [Hint: If c> 0 and X has an exponential distribution, so does cX.] O Â = O Â = O λ = * * O n Srit) i = 1 n j = 1 Σ i = 1 n n i = 1 n LY i = 1 n 0 1 = L (rt) 2 i = 1 | = 1 n n Y; | = 1Please show clear and complete solution! last 30 minutes left Thank you!
- One mechanism formed by two identical components of type A, arranged in series, has a reliability of 60% after 1000 hours. A new component B is added in parallel in order to improve the reliability of the device up to 90% after 1000 hours. What should be the reliability of component B after 1000 hours?A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At a =0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not %. O B. No more than % of adults the country would travel into space on a commercial flight if they could afford it. O C. % of adults in the country would travel into space on a commercial flight if they could afford it. O D. At least % of adults in the country would travel…A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and H. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) ontents O A. No more than % of adults in the country would travel into space on a commercial flight if they could afford it. %. O B. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not edia Library O C. At least % of adults in the country would travel into space on a commercial flight if they could afford it. lan O D. % of adults…
- A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a = 0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. O B. % of adults in the country would travel into space on a commercial flight if they could afford it. %. O C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not O D. No more than % of adults in the country would…A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 32% say that they would travel into space on a commercial flight if they could afford it. At a = 0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. B. No more than % of adults in the country would travel into space on a commercial flight if they.could afford it. C. 28 % of adults in the country would travel into space on a commercial flight if they could afford it. O D. The percentage adults in the country who would travel into…You are an aerospace engineers designing the next generation of space shuttles that includes two engines —one active, the other in reserve. If the primary engines fails, the second is automatically brought on line. Suppose a typical mission is expected to require that engine to work at most 5000 hours. According to the manufacturer's specifications, engine are expected to fail once every 10000 hours. What are the chances that such engine system would not remain functioning for the full 5000 hours? Hint, Use Gamma Distribution.